Let's solve each part of the question step by step.
(b) 289 17 × ( 112 − 78 )
Calculate the expression inside the parentheses:
112 − 78 = 34
Substitute back into the expression:
17 × 34
Multiply:
17 × 34 = 578
Divide by 289:
289 578 = 2
So, the result of part (b) is 2.
(d) ( 10 700 ) − ( 34 − 10 12 × 8 )
Calculate the first part:
10 700 = 70
Calculate the second part inside the curly braces:
(a) Multiply inside the parentheses: 12 × 8 = 96 (b) Subtract inside the denominator: 34 − 10 = 24 (c) Divide the results: 24 96 = 4
Subtract the results from step 1 and step 2c:
70 − 4 = 66
Thus, the result of part (d) is 66.